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Extra info for Collective motion and phase transitions in nuclear systems : proceedings of the Predeal International Summer School in Nuclear Physics, Predeal, Romania, 28 August-9 September 2006
This latter study clearly shows that the two models differ in their basic conceptual assumptions and their range of applicability. Indeed, while I B A is not working for deformed nuclei as well as for the high spin states, the CSM works especially well under the mentioned circumstances due to its semiclassical character. 3. 1) d and f are real parameters which simulates the quadrupole and octupole nuclear deformation. This function is a sum of two components with different parities which define through projection two sets of states, respectively: ** (g,k) (g,k)pJ q ( k ) , ‘PJM - N J MO g K =f J = dk,+(even) +&,-(odd).
In the present work we shall describe a method [3-51 allowing to find a saddle-point shape of a multifragment fission (number of fragments n 2 2) as a solution of an integro-differential equation; no aprzori surface equation has to be given. Applications for ternary and quaternary fission will be illustrated. In the approach based on a pure LDM , saddle-point shapes are always reflection symmetric: the deformation energy increases with the massasymmetry parameter q = (A1 - A2)/(A1 A z ) . By adding the shell corrections SE, to the LDM deformation energy, Edef = ELDM SE,we can obtain the minima at a finite value of the mass asymmetry for binary fission.
In the Fig. 1 the energies of positive and negative parity levels of the ground-state band of zzsTh and zz8Th are compared with different model predictions. The former turns out to be close to the results we obtain for a critical-point potential, while the latter is closer to those obtained with a quadratic potential. Relative values of experimental transition strengths, B(E1) and B(E2) have also been calculated and compared with existing experimental data. The results can be found in the Ref. .